Most of them are hybrids, and much more Middle-Eastern/Semitic than European:
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Also, many Ashkenazis seemingly reject the White label:
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Also, it is worth to note that they are a semi-nomadic peoples, and retained their traditional Hebrew religion & identity whilst refusing to integrate in every country they moved in. They were continually expelled also for most of their history in Europe:
So in short, Jews aren't really White or European.
You get some in things such as Hollywood or politics or the media here in the US who pass as White. But the thing is, they usually have one full-White parent & one Ashkenazi who is mixed themselves. Therefore, it is possible for them to produce offspring who pass as White.